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Section:
Physics
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© examsnet.com
Question : 1
Total: 17
A wire of length 0.5 m and area of cross-section
4
×
10
−
6
m
2
at a temperature of
100
∘
C
is suspended vertically by fixing its upper end to the ceiling. The wire is then cooled to
0
∘
C
, but is prevented from contracting, by attaching a mass at the lower end. If the mass of the wire is negligible, then the value of the mass attached to the wire is
[Young's modulus of material of the wire
=
10
11
N
m
−
2
; coefficient of linear expansion of the material of the wire
=
10
−
5
K
−
1
and acceleration due to gravity
=
10
m
s
−
2
]
[AP EAPCET 24 May 2025 S1]
10 kg
20 kg
30 kg
40 kg
Validate
Solution:
As contraction in wire is prevented by extending it with a load,
Thermal contraction
=
Extension due to load
‌
⇒
‌
‌
α
l
∆
T
=
‌
F
l
Y
A
⇒
α
l
∆
T
=
‌
m
g
l
Y
A
‌
⇒
‌
‌
m
=
‌
α
∆
T
â‹…
Y
A
g
=
‌
α
∆
T
Y
A
g
Substituting given values,
m
‌
=
‌
10
−
5
×
100
×
10
11
×
4
×
10
−
6
10
‌
=
4
×
10
=
40
k
g
© examsnet.com
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